Berlin 2015 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 3: Anomalous Diffusion (joint session DY/ CPP)
DY 3.7: Talk
Monday, March 16, 2015, 11:15–11:30, BH-N 334
Dynamical consequences of oriented particles interacting with their fractal surrounding — •Janett Prehl1, René Haber1, Heiko Herrmann1,2, and Karl Heinz Hoffmann1 — 1Institut für Physik, Technische Universiät Chemnitz, Chemnitz, Deutschland — 2Centre for Nonlinear Studies, Tallinn University of Technology, Tallinn, Estland
In order to model diffusive particles in porous media, often random walks of point particles on fractals are utilized as model system. It exhibits subdiffusive behavior, where the anomalous diffusion exponent is smaller than one, and the corresponding random walk dimension is larger than two. This is due to the limited space available in fractal structures. Within this presentation we endow the particles with an orientation [1,2] and analyze their dynamics on fractal structures. In particular, we focus on the dynamical consequences of the interactions between the local surrounding fractal structure and the particle orientation, which are modeled using an appropriate move class. These interactions can lead to particles becoming temporarily or permanently stuck in parts of the structure. A surprising finding is that the random walk dimension is not affected by the orientation while the diffusion constant shows a variety of interesting and surprising features.
[1] R. Haber, J. Prehl, K. H. Hoffmann, and Heiko Herrmann, J. Phys. A: Math. Theor. 47 (2014) 155001
[2] R. Haber, J. Prehl, H. Herrmann, and K. H. Hoffmann, Phys. Lett. A 377 (2013) 2840–2845